Townsend lecture on matrices Dec. 4


December 4, 2014

The MIT SIAM-CCE Seminar Series continues with Alex Townsend, who will speak on Thursday, December 4th at 4:00pm in MIT Room 56-114.  He will give a lecture about continuous analogues of matrix factorizations.  A fundamental idea in matrix linear algebra is the factorization of a matrix into simpler matrices, such as orthogonal, tridiagonal, and triangular. In this talk we extend this idea to a continuous setting, asking: “What are the continuous analogues of matrix factorizations?” The answer we develop involves functions of two variables, an iterative variant of Gaussian elimination, and sufficient conditions for convergence. This leads to a test for non-negative definite kernels, a continuous definition of a triangular quasimatrix (a matrix whose columns are functions), and a fresh perspective on a classic subject.

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